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monitta
3 years ago
10

Please need help on geometry

Mathematics
1 answer:
Doss [256]3 years ago
6 0
These involve the rules for the power of a point. For questions 6-8, we use the theorem that the square of the length of the tangent is equal to the length of the secant multiplied by the length of its external segment.
6. 6^2 = (3)(x + 3)12 = x + 3x = 9 units
7. 4^2 = (2)(x + 2)8 = x + 2x = 6 units
8. 24^2 = (12)(x + 12)48 = x + 12x = 36 units
9. The included angle is half the difference of the larger and smaller arcs. Since the larger arc is 85 degrees, the smaller is 25 degrees, and the difference is 60. Half this difference is x = 30 degrees.
10. The angles at the intersection are vertical angles, so both equal to 65 degrees. Then the sum of the intercepted arcs must be equal to double of the vertical angle: 2 x 65 = 130 degrees. Since one is 95 degrees, the other is x = 130 - 95 = 35 degrees.
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Am i correct?? <br><br>-- &gt; if i am wrong. show details on why.
Anna35 [415]

Answer:

Sorry to say that you are wrong,it should be the last choice

NP of the first triangle is 36,and it touches MP,and 36 is bigger than 33.Although it looks like same,it is not really the same.

Hope that helps.:)

8 0
3 years ago
Read 2 more answers
What is the value of cos θ given that (-2, 9) is a point on the terminal side of θ?
liq [111]

Answer:

a)  cosθ  = \frac{-2\sqrt{85} }{85}

Step-by-step explanation:

<u><em> Step(i):</em></u>-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

  x = r cos θ and y = r sinθ

where   r = \sqrt{x^{2} +y^{2} }  

            r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}

<u><em>Step(ii)</em></u>:-

           x = r cos θ

          cosθ   = \frac{x}{r}

      cosθ  = \frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }

       cosθ  = \frac{-2\sqrt{85} }{85}

3 0
3 years ago
What is the slope of the long represented by the equation y=4/5x-3
Gnom [1K]

Answer:

The slope would be 4/5

Step-by-step explanation:

y=(m)x+b and b is the slope.

4 0
3 years ago
Read 2 more answers
Eight children were in a ballet class. Three of them were wearing a pink leotard. What fraction of them did not have a pink leot
leva [86]

Answer:

5/8

Step-by-step explanation:

8 children in class

3 have pink on

8-3 = 5

That means 5 do not have pink

Fraction that do not have pink

those that do not have pink/total

5/8

5 0
3 years ago
Consider the parameterization of the unit circle given by x=cos(3t^2-t), y=sin(3t^2-t) for t in (-infinity, infinity). Describe
PtichkaEL [24]

Answer and Step-by-step explanation:

The answer is attached below

3 0
3 years ago
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